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4429004448 = 2531159671061
BaseRepresentation
bin1000001111111110…
…10011111010100000
3102102122221201220210
410013333103322200
533032311120243
62011252534120
7214516626261
oct40777237240
912378851823
104429004448
11197306a660
12a37321340
13557779abb
14300308968
151adc67933
hex107fd3ea0

4429004448 has 192 divisors, whose sum is σ = 13102871040. Its totient is φ = 1298457600.

The previous prime is 4429004401. The next prime is 4429004449. The reversal of 4429004448 is 8444009244.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4429004449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4173838 + ... + 4174898.

It is an arithmetic number, because the mean of its divisors is an integer number (68244120).

Almost surely, 24429004448 is an apocalyptic number.

4429004448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4429004448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551435520).

4429004448 is an abundant number, since it is smaller than the sum of its proper divisors (8673866592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4429004448 is a wasteful number, since it uses less digits than its factorization.

4429004448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4429004448 is about 66550.7659460055. The cubic root of 4429004448 is about 1642.2352586056.

The spelling of 4429004448 in words is "four billion, four hundred twenty-nine million, four thousand, four hundred forty-eight".